The Motor (J1=0.46 kg‐m2) is connected to a gearbox (J2 =0.27 kg‐m2 and J3=0.17 kg‐m2) by a steel shaft. The output of the gearbox is connected to a turbine (J4=0.37 kg‐m2 by a second steel shaft. The shafts are supported by bearings (not shown). The gearing in the gearbox is such that theta3=‐2.7theta2. Use Lagrange methods to determine the equation of motion for the system including the flexibility of the shafts, using variables of theta 1, theta 3, theta 4 based on changing theta 3.
The Motor (J1=0.46 kg‐m2) is connected to a gearbox (J2 =0.27 kg‐m2 and J3=0.17 kg‐m2) by a steel shaft. The output of the gearbox is connected to a turbine (J4=0.37 kg‐m2 by a second steel shaft. The shafts are supported by bearings (not shown). The gearing in the gearbox is such that theta3=‐2.7theta2. Use Lagrange methods to determine the equation of motion for the system including the flexibility of the shafts, using variables of theta 1, theta 3, theta 4 based on changing theta 3.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Can anyone help me with this question. The Motor (J1=0.46 kg‐m2) is connected to a gearbox (J2 =0.27 kg‐m2 and J3=0.17 kg‐m2) by a steel shaft. The output of the gearbox is connected to a turbine (J4=0.37 kg‐m2 by a second steel shaft. The shafts are supported by bearings (not shown). The gearing in the gearbox is such that theta3=‐2.7theta2. Use Lagrange methods to determine the equation of motion for the system including the flexibility of the shafts, using variables of theta 1, theta 3, theta 4 based on changing theta 3.

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